Use our free GCF of Fractions Calculator tool to compute the GCF of 2191/905, 9348/3661 i.e 1/3313205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2191/905, 9348/3661.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2191/905,9348/3661
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2191/905,9348/3661, numerators are 2191,9348
Denominators are 905,3661
The GCF of 2191,9348 is 1 .
LCM of 905,3661 is 3313205.
The greatest common factor of 2191/905,9348/3661 = [GCF of 2191,9348]/[LCM of 905,3661]= 1/3313205
Therefore, the GCF of 2191/905,9348/3661 is 1/3313205.
To find the highest common factor of 2191,9348, we have to find the factors of both numbers and list the highest common factor.
The factors of 2191 are 1, 7, 313, 2191
The factors of 9348 are 1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228, 246, 492, 779, 1558, 2337, 3116, 4674, 9348
The HCF of 2191,9348 is 1.
Lets's calculate GCF of 2191,9348
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2191
:1,7,313,2191
Now, list down the factors of 9348
:1,2,3,4,6,12,19,38,41,57,76,82,114,123,164,228,246,492,779,1558,2337,3116,4674,9348
Greatest Common Factor
We found the factors 2191,9348 . The biggest common factor number is the GCF number.
So the greatest common factor 2191,9348 is 1.
Lets's calculate LCM of 905,3661
Given numbers has no common factors except 1. So, there LCM is their product i.e 3313205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3313205
Therefore, the GCF of Fractions 2191/905,9348/3661 is 1/3313205
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 905,3661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,3661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,3661) x common factors =1 x 1 = 1
LCM(905,3661) = ( 905 × 3661 ) / 1
LCM(905,3661) = 3313205 / 1
LCM(905,3661) = 3313205
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2191,9348?
The HCF of 2191,9348 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 2191/905, 9348/3661?
Answer: GCF of Numerators as per given numbers 2191/905, 9348/3661 is
GCF of Numerators i.e. for 2191,9348 is 1
LCM of denominators i.e. for 905,3661 is 3313205.
Thus, GCF of Fractions is 1/3313205.Finally, GCF of Fractions for 2191/905, 9348/3661 is 1/3313205.